Does the hesitation suggest anything

NS play a weak NT with 5cM, short club. 2NT showed 15-16 and there was a long hesitation before North bid 5C. EW called the TD after the hand to ask whether UI from the hesitation might have influenced South's jump to 6S, for example it might suggest extra and/or slam-suitable values which South would like to hear about because all he needs is cover cards. In the ensuing discussion it was unclear what 4C was meant as - South said it was some sort of asking bid but not for aces or keycards. North stated 5C was a natural signoff.

Theres no understanding about the 4♣ bid and I would, sitting N, need some time to figure out what S is trying to convey. The 5♣ doesnt suggest anything else than that N thinks that S has clubs and spades, and suggest certainly not bdding on. That S never thought about a club contract is also clear, not with this spade holding and only two clubs opposite a balanced hand. Six spades is a gamble that makes with this distribution and finessing twice in hearts. With the queen E and the ace W 6♥ is doomed.

If 4♣ was "some sort of asking bid" then presumably 5♣ was some sort of answer (possibly non-systemic). It would be helpful to know what, if anything, it ostensibly meant from South's perspective, since South had the UI that it quite probably doesn't actually mean that.